def _repr_html_(self, context=None, unofficialNameKindContext=None):
'''
Generate html to show a png compiled from the latex (that may be recalled
from memory or storage if it was generated previously) with a link to
an expr.ipynb notebook for displaying the expression information.
If 'context' is provided, find the stored expression information in
that context; otherwise, use the default, current directory Context.
If 'unofficialNameKindContext' is provided, it should be the
(name, kind, context) for a special expression that is not-yet-official
(%end_[common/axioms/theorems] has not been called yet in the special
expressions notebook).
'''
if context is None:
context = Context()
if not hasattr(self._styleData, 'png'):
self._styleData.png, png_url = context._stored_png(
self, self.latex(), self._config_latex_tool)
self._styleData.png_url = png_url
if self._styleData.png_url is not None:
expr_notebook_rel_url = context.expressionNotebook(
self, unofficialNameKindContext)
html = '<a class="ProveItLink" href="' + expr_notebook_rel_url + '">'
encoded_png = encodebytes(self._styleData.png).decode("utf-8")
html += '<img src="data:image/png;base64,' + encoded_png + r'" style="display:inline;vertical-align:middle;" />'
html += '</a>'
# record as a "displayed" (style-specific) expression
Expression.displayed_expression_styles.add((self._style_id, self))
return html
def __init__(self,
stringFormat,
latexFormat=None,
extraCoreInfo=tuple(),
context=None):
'''
Create a Literal. If latexFormat is not supplied, the stringFormat is used for both.
'''
from proveit._core_.context import Context
from proveit._core_.expression.expr import Expression
if context is None:
# use the default
context = Context.default
if context is None:
# if no default is specified; use the current working directory
context = Context()
elif isinstance(context, str):
# convert a path string to a Context
if os.path.exists(context):
# Make a Context given a path.
context = Context(context)
else:
# Make a Context given a name.
# First create the local context to make sure we have access
# to context roots referenced by this context.
Context()
context = Context.getContext(context)
Label.__init__(self, stringFormat, latexFormat, 'Literal',
(context.name, ) + tuple(extraCoreInfo))
self._setContext(context)
#if self._coreInfo in Literal.instances:
# raise DuplicateLiteralError("Only allowed to create one Literal with the same context and string/latex formats")
Literal.instances[self._coreInfo] = self
def proving(self, line):
from proveit._core_.proof import Theorem
self.context = Context(
'..'
) # the context should be up a directory from the _proofs_ directory
sys.path.append('..')
theorem_name, presuming_str = str(line.strip()).split(' ', 1)
if not presuming_str.find('presuming ') == 0:
print "Format: %begin_proof <theorem_name> presuming [<list of theorems / context-names>]"
return
args = presuming_str.split(' ', 1)[-1].strip('[]').split(',')
theorem_truth = Context('..').getTheorem(theorem_name).provenTruth
print "Beginning proof of", theorem_name
presuming = [arg.strip() for arg in args if arg.strip() != '']
# The list of theorems/context-names may be composed of full-path strings containing '.'s
# or may be actual theorem variables defined in the IPython sesson. The latter
# instances will be converted to strings.
for k, arg in enumerate(list(presuming)):
if '.' not in arg:
knownTruth = self.shell.user_ns[arg]
if not isinstance(knownTruth, KnownTruth) or not isinstance(
knownTruth.proof(), Theorem):
raise ValueError(
"Presuming list must be composed of full-path theorem/context-name containing '.'s or be KnownTruth variable representing a Theorem"
)
theorem = knownTruth.proof()
presuming[k] = str(theorem) # full path of theorem
begin_proof_result = theorem_truth.beginProof(presuming)
if isinstance(begin_proof_result, Expression):
# assign the theorem name to the theorem expression
# and display this assignment
theorem_expr = theorem_truth.expr
self.shell.user_ns[theorem_name] = theorem_expr
return Assignments([theorem_name], [theorem_expr],
beginningProof=True)
def __init__(self,
stringFormat,
latexFormat=None,
extraCoreInfo=tuple(),
context=None):
'''
Create a Literal. If latexFormat is not supplied, the stringFormat is used for both.
'''
from proveit._core_.context import Context
from proveit._core_.expression.expr import Expression
if context is None:
# use the default
context = Context.default
if context is None:
# if no default is specified; use the current working directory
context = Context()
elif isinstance(context, str):
# convert a path string to a Context
context = Context(context)
self.context = context
Label.__init__(self, stringFormat, latexFormat, 'Literal',
(context.name, ) + tuple(extraCoreInfo))
#if self._coreInfo in Literal.instances:
# raise DuplicateLiteralError("Only allowed to create one Literal with the same context and string/latex formats")
Literal.instances[self._coreInfo] = self
Expression.contexts[self] = self.context
def proving(self, theorem_name, presumptions, justRecordPresumingInfo=False):
self.context = Context('..') # the context should be up a directory from the _proofs_ directory
sys.path.append('..')
proving_theorem = self.context.getTheorem(theorem_name)
proving_theorem_truth = proving_theorem.provenTruth
print("Beginning proof of", theorem_name)
return proving_theorem_truth.beginProof(proving_theorem, presumptions, justRecordPresumingInfo=justRecordPresumingInfo)
def __init__(self):
self.context = Context() # context of the current working directory
self.subContextNames = list(self.context.getSubContextNames())
self.subContextDescriptions = dict()
# read the previous 'mode' (interactive or static) and toggle it.
prev_mode = 'static' # default toggles 'static' to 'interactive'
if os.path.isfile('_mode_.txt'):
with open('_mode_.txt', 'rt') as f:
prev_mode = f.read().strip()
# mode toggles between 'static' and 'interactive'
if prev_mode == 'static':
self.mode = 'interactive'
# in interactive mode, sub-contexts are presented in an interactive widget
self.widget = widgets.VBox()
self.smallButtonLayout = widgets.Layout(width='30px')
self.subContextLinkLayout = widgets.Layout(width='20%')
self.subContextDescriptionLayout = widgets.Layout(width='80%')
else:
self.mode = 'static'
# write the new mode that has been toggled
with open('_mode_.txt', 'w') as f:
f.write(self.mode + '\n')
# register each sub-context name, reading their brief descriptions and
# creating widgets if in interactive mode
for sub_context_name in self.subContextNames:
self._addSubContextRow(sub_context_name)
def display_dependencies(self, name, known_truth):
'''
Show the dependencies of an axiom or theorem.
'''
proof = known_truth.proof() # Axiom or Theorem
def displaySpecialStmt(stmt):
'''
Given an Axiom or Theorem, display HTML with a link
to the definition.
'''
expr = stmt.provenTruth.expr
display(
HTML(
'<dt><a class="ProveItLink" href="%s">%s</a></dt><dd>%s</dd>'
% (stmt.getLink(), str(stmt), expr._repr_html_())))
def stmt_sort(stmt):
return str(stmt)
if isinstance(proof, Theorem):
try:
required_axioms, required_unproven_theorems = proof.allRequirements(
)
except:
display(HTML('<h3>This theorem has not been proven yet.</h3>'))
required_axioms, required_unproven_theorems = tuple(), tuple()
if len(required_unproven_theorems) > 0:
display(
HTML(
'<h3>Unproven theorems required (directly or indirectly) to prove %s</h3>'
% name))
display(HTML('<dl>'))
for required_unproven_theorem in sorted(
required_unproven_theorems, key=stmt_sort):
displaySpecialStmt(
Context.findTheorem(required_unproven_theorem))
display(HTML('</dl>'))
if len(required_axioms) > 0:
display(
HTML(
'<h3>Axioms required (directly or indirectly) to prove %s</h3>'
% name))
display(HTML('<dl>'))
for required_axiom in sorted(required_axioms, key=stmt_sort):
displaySpecialStmt(Context.findAxiom(required_axiom))
display(HTML('</dl>'))
dependents = proof.directDependents()
if len(dependents) == 0:
display(HTML('<h3>No theorems depend upon %s</h3>' % name))
else:
display(HTML('<h3>Theorems that depend directly on %s</h3>' %
name))
display(HTML('<dl>'))
for dependent in sorted(proof.directDependents(), key=stmt_sort):
displaySpecialStmt(Context.findTheorem(dependent))
display(HTML('</dl>'))
def show_expr(self):
'''
Convenient for debugging when %check_expr fails.
'''
_, hash_id = os.path.split(os.path.abspath('.'))
context = Context()
stored_expr = context.getStoredExpr(hash_id)
return stored_expr
def check_expr(self, expr_name, expr):
_, hash_id = os.path.split(os.path.abspath('.'))
context = Context()
stored_expr = context.getStoredExpr(hash_id)
if expr != stored_expr:
raise ProveItMagicFailure("The built '%s' does not match the stored Expression"%expr_name)
if expr._style_id != stored_expr._style_id:
raise ProveItMagicFailure("The built '%s' style does not match that of the stored Expression"%expr_name)
print("Passed sanity check: built '%s' is the same as the stored Expression."%expr_name)
def begin_axioms(self):
# context based upon current working directory
self.context = Context()
if len(self.definitions) > 0 or self.kind is not None:
if self.kind != 'axioms':
raise ProveItMagicFailure("Run %%begin_axioms in a separate notebook from %%begin_%s."%self.kind)
print("WARNING: Re-running %begin_axioms does not reset previously defined axioms.")
print(" It is suggested that you restart and run all cells after editing axioms.")
print("Defining axioms for context '" + self.context.name + "'")
print("Subsequent end-of-cell assignments will define axioms")
print("%end_axioms will finalize the definitions")
def begin(self, line):
kind = line.strip()
# context based upon current working directory
self.context = Context()
if kind == 'axioms':
self.begin_axioms()
elif kind == 'theorems':
self.begin_theorems()
elif kind == 'common':
self.begin_common()
self.kind = kind
def deleteSubContext(self, contextNameToDelete):
'''
Delete (unlink) a sub-context with the given name as long as there are not external
references to its expressions. Either way, the directory will remain.
Only files in the __pv_it directories are cleared (recursively in all sub-sub contexts,
etc) and the current directory's context will no longer link to it. That is
why we use the term 'unlinked'. It may be resurrected by adding the sub-context
with the same name back in.
'''
context = Context(contextNameToDelete)
# remove all internal references and see if any external references remain
context.clearAll()
contains_expressions = context.containsAnyExpression()
def dismiss(sender):
if not contains_expressions:
# Successful removal; we need to remove the deleted sub-context name from
# the self.subContextNames list, the displayed widgets, and the list in _sub_contexts_.txt.
new_sub_contexts = []
new_widget_children = []
for k, sub_context_name in enumerate(self.subContextNames):
if sub_context_name != contextNameToDelete:
new_sub_contexts.append(sub_context_name)
new_widget_children.append(self.widget.children[k])
self.subContextNames = new_sub_contexts
self.updateSubContextNames()
self.widget.children = new_widget_children
else:
# dismiss the delete confirmation/message by removing all but the first row in the row_widget
row_widget.children = (row_widget.children[0], )
if not contains_expressions:
msg = 'Removing (unlinking) sub-context; add it again to resurrect it or delete the directory to make it permanent'
msg_width = '650px'
else:
msg = "Context removal cancelled; there are external references to its expressions (or corrupted '__pv_it' directories)"
msg_width = '650px'
row_widget = self.widget.children[self.subContextNames.index(
contextNameToDelete)]
delete_msg = widgets.Label(msg,
layout={
'width': msg_width,
'max_width': msg_width
})
gotit_button = widgets.Button(description='got it',
disabled=False,
tooltip='got it',
layout={'width': '80px'})
gotit_button.on_click(dismiss)
row_widget.children = (row_widget.children[0],
widgets.HBox([delete_msg, gotit_button],
layout=widgets.Layout(
justify_content='flex-end')))
def _class_path(self):
ExprClass = self.__class__
class_module = sys.modules[ExprClass.__module__]
if hasattr(class_module, '__file__'):
context = Context(class_module.__file__)
else:
context = Context(
) # use the current directory if using the main module
# get the full class path relative to the root context where the class is defined
class_path = context.name + '.' + ExprClass.__module__.split(
'.')[-1] + '.' + ExprClass.__name__
return class_path
def clear(self, kind):
# context based upon current working directory
self.context = Context()
if kind == 'axioms':
self.context._clearAxioms()
elif kind == 'theorems':
self.context._clearTheorems()
elif kind == 'common':
self.context._clearCommonExressions()
elif KnownTruth.theoremBeingProven is not None:
kind = '_proof_' + KnownTruth.theoremBeingProven.name
# clean unreferenced expressions:
self.context.referenceDisplayedExpressions(kind, clear=True)
self.context.clean()
self.kind = None
def subContextNotebook(self, subContextName):
'''
Returns the path of the _context_.ipynb notebook for the given sub-context,
creating it if necessary.
'''
import proveit
import json
notebook_name = os.path.join(subContextName, '_context_.ipynb')
if not os.path.isdir(subContextName):
os.mkdir(subContextName)
init_name = os.path.join(subContextName, '__init__.py')
open(init_name, 'w')
if os.path.isfile(notebook_name):
# already exists
return notebook_name
proveit_path = os.path.split(proveit.__file__)[0]
with open(os.path.join(proveit_path, '..', '_context_template_.ipynb'),
'r') as template:
nb = template.read()
super_context_links = Context('.').links(
from_directory=subContextName)
nb = nb.replace('#CONTEXT#',
super_context_links + '.' + subContextName)
# write the notebook file
with open(notebook_name, 'w') as notebook_file:
notebook_file.write(nb)
return notebook_name
def display_context(self):
'''
Create the _common_, _axioms_ and _theorems_ notebooks for the current
context (if they do not already exist). Show the table of contents
for sub-contexts which may be edited.
'''
import proveit
# create an '__init__.py' in the directory if there is not an existing one.
if not os.path.isfile('__init__.py'):
open('__init__.py', 'w').close() # create an empty __init__.py
context = Context()
proveit_path = os.path.split(proveit.__file__)[0]
special_notebook_types = ('common', 'axioms', 'theorems', 'demonstrations')
special_notebook_texts = ('common expressions', 'axioms', 'theorems', 'demonstrations')
for special_notebook_type in special_notebook_types:
notebook_name = '_%s_.ipynb'%special_notebook_type
if not os.path.isfile(notebook_name):
# notebook does not yet exist, create it from the template
template_name = '_%s_template_.ipynb'%special_notebook_type
with open(os.path.join(proveit_path, '..', template_name), 'r') as template:
nb = template.read()
nb = nb.replace('#CONTEXT#', context.name)
# write the notebook file
with open(notebook_name, 'w') as notebook_file:
notebook_file.write(nb)
context_interface = ContextInterface()
if context_interface.mode == 'static':
special_notebooks_html = '<table><tr>\n'
for special_notebook_type, special_notebook_text in zip(special_notebook_types, special_notebook_texts):
special_notebooks_html += '<th><a class="ProveItLink" href="_%s_.ipynb">%s</a></th>\n'%(special_notebook_type, special_notebook_text)
special_notebooks_html += '</tr></table>\n'
if len(context_interface.subContextNames) > 0:
special_notebooks_html += '<table>\n'
for name in context_interface.subContextNames:
description = context_interface.subContextDescriptions[name]
href = context_interface.subContextNotebook(name)
special_notebooks_html += '<tr><th><a class="ProveItLink" href="%s">%s</a></th><td>%s</td></tr>\n'%(href, name, description)
special_notebooks_html += '</table>\n'
display(HTML(special_notebooks_html))
else:
special_notebook_links = []
full_width_layout = widgets.Layout(width='100%', padding='5px')
for special_notebook_type, special_notebook_text in zip(special_notebook_types, special_notebook_texts):
special_notebook_links.append(widgets.HTML('<a class="ProveItLink" href="_%s_.ipynb">%s</a>'%(special_notebook_type, special_notebook_text), layout=full_width_layout))
special_notebook_links = widgets.HBox(special_notebook_links)
sub_contexts_label = widgets.Label('List of sub-contexts:', layout = widgets.Layout(width='100%'))
#sub_context_widgets = widgets.VBox(sub_context_widgets)
add_context_widget = widgets.Text(value='', placeholder='Add sub-context...')
def addSubContext(sender):
context_interface.addSubContext(add_context_widget.value)
add_context_widget.value = ''
add_context_widget.on_submit(addSubContext)
#layout = widgets.Layout(display='flex', flex_flow='column-reverse')
#display(widgets.Button(description='Edit...', disabled=False, button_style='', tooltip='Edit the sub-contents list', layout=layout))
#layout = widgets.Layout(float='bottom')
display(widgets.VBox([special_notebook_links, sub_contexts_label, context_interface.widget, add_context_widget]))
def check_expr(self, line):
_, hash_id = os.path.split(os.path.abspath('.'))
context = Context()
expr_name = line.strip()
if expr_name == '':
expr_name = 'expr'
expr = self.shell.user_ns[expr_name]
else:
expr = self.shell.user_ns[expr_name]
if isinstance(expr, KnownTruth):
# actually a KnownTruth; convert to an Expression
expr = expr.expr
stored_expr = context.getStoredExpr(hash_id)
if expr != stored_expr:
raise ProveItMagicFailure("The built '%s' does not match the stored Expression"%expr_name)
if expr._style_id != stored_expr._style_id:
raise ProveItMagicFailure("The built '%s' style does not match that of the stored Expression"%expr_name)
print "Passed sanity check: built '%s' is the same as the stored Expression."%expr_name
def _generate_unique_rep(self, objectRepFn, includeStyle=False):
'''
Generate a unique representation string using the given function to obtain representations of other referenced Prove-It objects.
'''
import sys
context = Context(sys.modules[self.__class__.__module__].__file__)
# get the full class path relative to the root context where the class is defined
class_path = context.name + '.' + self.__class__.__module__.split('.')[-1] + '.' + self.__class__.__name__
style_str = ''
if includeStyle:
style_str = ';[' + ','.join(style_name + ':' + self.getStyle(style_name) for style_name in sorted(self.styleNames())) + ']'
return class_path + '[' + ','.join(self._coreInfo) + ']' + style_str + ';[' + ','.join(objectRepFn(expr) for expr in self._subExpressions) + ']'
def display_contents(self, context_names):
'''
Generates a "table of contents" hierarchy of contexts for the contexts
listed in the line.
'''
def generateContents(contexts):
if len(contexts)==0: return ''
html = '<ul>\n'
for context in contexts:
href = relurl(os.path.join(context.getPath(), '_context_.ipynb'))
html += '<li><a class="ProveItLink" href="%s">%s</a></li>\n'%(href, context.name)
html += generateContents(list(context.getSubContexts()))
return html + '</ul>\n'
display(HTML(generateContents([Context(context_name) for context_name in context_names])))
import sys from proveit._core_.context import Context, Axioms sys.modules[__name__] = Axioms(Context(__file__))
class ContextInterface:
'''
A SubContexts object is an interface for the _sub_contexts_.txt file
which stores the names of the sub-contexts of the context in the current
directory and also tracks whether it is in interactive or state mode.
With each %context execution (in the _context_.ipynb notebook), the
mode is toggled. If in interactive mode, the SUbContexts object is
responsible for creating the interactive widget to add/modify/remove
sub-contexts and edit their brief descriptions.
'''
def __init__(self):
self.context = Context() # context of the current working directory
self.subContextNames = list(self.context.getSubContextNames())
self.subContextDescriptions = dict()
# read the previous 'mode' (interactive or static) and toggle it.
prev_mode = 'static' # default toggles 'static' to 'interactive'
if os.path.isfile('_mode_.txt'):
with open('_mode_.txt', 'rt') as f:
prev_mode = f.read().strip()
# mode toggles between 'static' and 'interactive'
if prev_mode == 'static':
self.mode = 'interactive'
# in interactive mode, sub-contexts are presented in an interactive widget
self.widget = widgets.VBox()
self.smallButtonLayout = widgets.Layout(width='30px')
self.subContextLinkLayout = widgets.Layout(width='20%')
self.subContextDescriptionLayout = widgets.Layout(width='80%')
else:
self.mode = 'static'
# write the new mode that has been toggled
with open('_mode_.txt', 'w') as f:
f.write(self.mode + '\n')
# register each sub-context name, reading their brief descriptions and
# creating widgets if in interactive mode
for sub_context_name in self.subContextNames:
self._addSubContextRow(sub_context_name)
def _addSubContextRow(self, subContextName):
subContextDescription = self.readDescription(subContextName)
self.subContextDescriptions[subContextName] = subContextDescription
if self.mode == 'interactive':
small_button_layout = self.smallButtonLayout
sub_context_link_layout = self.subContextLinkLayout
sub_context_description_layout = self.subContextDescriptionLayout
#rename_button = widgets.Button(description='', disabled=False, button_style='', tooltip='rename', icon='pencil', layout=small_button_layout)
up_button = widgets.Button(description='',
disabled=False,
button_style='',
tooltip='move up',
icon='chevron-up',
layout=small_button_layout)
dn_button = widgets.Button(description='',
disabled=False,
button_style='',
tooltip='move down',
icon='chevron-down',
layout=small_button_layout)
delete_button = widgets.Button(description='',
disabled=False,
button_style='danger',
tooltip='delete context',
icon='trash',
layout=small_button_layout)
href = self.subContextNotebook(subContextName)
sub_context_link = widgets.HTML(
'<a class="ProveItLink" href="%s">%s</a>' %
(href, subContextName),
layout=sub_context_link_layout)
sub_context_description = widgets.Text(
value=subContextDescription,
placeholder='Add a brief description here...',
layout=sub_context_description_layout)
def setDescription(change):
self.subContextDescriptions[subContextName] = change['new']
self.writeDescriptionFile(subContextName)
sub_context_description.observe(setDescription, names='value')
row_widget = widgets.VBox([
widgets.HBox([
sub_context_link, sub_context_description, up_button,
dn_button, delete_button
])
])
self.widget.children = self.widget.children + (row_widget, )
def moveUp(sender):
idx = self.subContextNames.index(subContextName)
self.moveUp(idx)
def moveDown(sender):
idx = self.subContextNames.index(subContextName)
self.moveUp(idx + 1)
def deleteSubContext(sender):
# before deleting a sub-context, we need confirmation by entering the sub-context name
delete_msg = widgets.Label(
"To remove (unlink) sub-context, enter its name as confirmation",
layout={
'width': '400px',
'max_width': '400px'
})
verification_text = widgets.Text(
layout=widgets.Layout(flex_grow=2, max_width='500px'))
cancel_button = widgets.Button(description='cancel',
disabled=False,
tooltip='cancel',
layout={'width': '80px'})
cancel_button.on_click(dismissDelete)
verification_text.observe(monitorConfirmation)
row_widget.children = (
row_widget.children[0],
widgets.HBox(
[delete_msg, verification_text, cancel_button],
layout={'justify_content': 'flex-end'}))
def dismissDelete(sender):
# dismiss the delete confirmation/message by removing all be the first row in the row_widget
row_widget.children = (row_widget.children[0], )
def monitorConfirmation(change):
# check to see if the user has entered the sub-context name for confirmation
if change['new'] == subContextName:
# delete context has been
self.deleteSubContext(subContextName)
up_button.on_click(moveUp)
dn_button.on_click(moveDown)
delete_button.on_click(deleteSubContext)
def subContextNotebook(self, subContextName):
'''
Returns the path of the _context_.ipynb notebook for the given sub-context,
creating it if necessary.
'''
import proveit
import json
notebook_name = os.path.join(subContextName, '_context_.ipynb')
if not os.path.isdir(subContextName):
os.mkdir(subContextName)
init_name = os.path.join(subContextName, '__init__.py')
open(init_name, 'w')
if os.path.isfile(notebook_name):
# already exists
return notebook_name
proveit_path = os.path.split(proveit.__file__)[0]
with open(os.path.join(proveit_path, '..', '_context_template_.ipynb'),
'r') as template:
nb = template.read()
super_context_links = Context('.').links(
from_directory=subContextName)
nb = nb.replace('#CONTEXT#',
super_context_links + '.' + subContextName)
# write the notebook file
with open(notebook_name, 'w') as notebook_file:
notebook_file.write(nb)
return notebook_name
def addSubContext(self, subContextName):
'''
Add a new sub-context with the given name.
'''
if subContextName in self.subContextNames:
return
if subContextName == '': return
self.context.appendSubContextName(subContextName)
self.subContextNames.append(subContextName)
self._addSubContextRow(subContextName)
def deleteSubContext(self, contextNameToDelete):
'''
Delete (unlink) a sub-context with the given name as long as there are not external
references to its expressions. Either way, the directory will remain.
Only files in the __pv_it directories are cleared (recursively in all sub-sub contexts,
etc) and the current directory's context will no longer link to it. That is
why we use the term 'unlinked'. It may be resurrected by adding the sub-context
with the same name back in.
'''
context = Context(contextNameToDelete)
# remove all internal references and see if any external references remain
context.clearAll()
contains_expressions = context.containsAnyExpression()
def dismiss(sender):
if not contains_expressions:
# Successful removal; we need to remove the deleted sub-context name from
# the self.subContextNames list, the displayed widgets, and the list in _sub_contexts_.txt.
new_sub_contexts = []
new_widget_children = []
for k, sub_context_name in enumerate(self.subContextNames):
if sub_context_name != contextNameToDelete:
new_sub_contexts.append(sub_context_name)
new_widget_children.append(self.widget.children[k])
self.subContextNames = new_sub_contexts
self.updateSubContextNames()
self.widget.children = new_widget_children
else:
# dismiss the delete confirmation/message by removing all but the first row in the row_widget
row_widget.children = (row_widget.children[0], )
if not contains_expressions:
msg = 'Removing (unlinking) sub-context; add it again to resurrect it or delete the directory to make it permanent'
msg_width = '650px'
else:
msg = "Context removal cancelled; there are external references to its expressions (or corrupted '__pv_it' directories)"
msg_width = '650px'
row_widget = self.widget.children[self.subContextNames.index(
contextNameToDelete)]
delete_msg = widgets.Label(msg,
layout={
'width': msg_width,
'max_width': msg_width
})
gotit_button = widgets.Button(description='got it',
disabled=False,
tooltip='got it',
layout={'width': '80px'})
gotit_button.on_click(dismiss)
row_widget.children = (row_widget.children[0],
widgets.HBox([delete_msg, gotit_button],
layout=widgets.Layout(
justify_content='flex-end')))
def moveUp(self, i):
if i <= 0 or i == len(self.widget.children):
return # can't move the first entry up or go beyond the last entry
self.widget.children = self.widget.children[:i - 1] + (
self.widget.children[i],
self.widget.children[i - 1]) + self.widget.children[i + 1:]
self.subContextNames = self.subContextNames[:i - 1] + [
self.subContextNames[i], self.subContextNames[i - 1]
] + self.subContextNames[i + 1:]
self.updateSubContextNames()
def readDescription(self, subContextName):
brief_description = ''
brief_description_filename = os.path.join(subContextName,
'_brief_description_.txt')
if os.path.isfile(brief_description_filename):
with open(brief_description_filename) as f2:
brief_description = f2.read().strip()
self.subContextDescriptions[subContextName] = brief_description
return brief_description
def writeDescriptionFile(self, subContextName):
brief_description = self.subContextDescriptions[subContextName]
if brief_description != '':
brief_description_filename = os.path.join(
subContextName, '_brief_description_.txt')
with open(brief_description_filename, 'w') as f:
f.write(brief_description + '\n')
def updateSubContextNames(self):
'''
Update the stored sub-context names (in the _sub_contexts_.txt file) with
self.subContextNames
'''
# rewrite the sub_contexts.txt file with new information.
self.context.setSubContextNames(self.subContextNames)
def show_proof(self):
_, hash_id = os.path.split(os.path.abspath('.'))
context = Context()
return context.getShowProof(hash_id)
class ProveItMagic(Magics):
"Magics that hold additional state"
def __init__(self, shell, assignmentBehaviorModifier):
# You must call the parent constructor
super(ProveItMagic, self).__init__(shell)
self.kind = None
self.definitions = dict()
self.keys = [] # the keys of the definitions in the order they appear
self.lowerCaseNames = set()
self.context = None
self.ranFinish = False
self.assignmentBehaviorModifier = assignmentBehaviorModifier
assignmentBehaviorModifier.displayAssignments(ip)
@line_magic
def display_assignments(self, line):
if line.strip() == 'off':
self.assignmentBehaviorModifier.resetBehavior()
else:
self.assignmentBehaviorModifier.displayAssignments(self.shell)
@line_magic
def context(self, line):
'''
Create the _common_, _axioms_ and _theorems_ notebooks for the current
context (if they do not already exist). Show the table of contents
for sub-contexts which may be edited.
'''
import proveit
import ipywidgets as widgets
# create an '_init_.py' in the directory if there is not an existing one.
if not os.path.isfile('__init__.py'):
open('__init__.py', 'w').close() # create an empty __init__.py
context = Context()
proveit_path = os.path.split(proveit.__file__)[0]
special_notebook_types = ('common', 'axioms', 'theorems',
'demonstrations')
special_notebook_texts = ('common expressions', 'axioms', 'theorems',
'demonstrations')
for special_notebook_type in special_notebook_types:
notebook_name = '_%s_.ipynb' % special_notebook_type
if not os.path.isfile(notebook_name):
# notebook does not yet exist, create it from the template
template_name = '_%s_template_.ipynb' % special_notebook_type
with open(os.path.join(proveit_path, '..', template_name),
'r') as template:
nb = template.read()
nb = nb.replace('#CONTEXT#', context.name)
# write the notebook file
with open(notebook_name, 'w') as notebook_file:
notebook_file.write(nb)
context_interface = ContextInterface()
if context_interface.mode == 'static':
special_notebooks_html = '<table>\n'
for special_notebook_type, special_notebook_text in zip(
special_notebook_types, special_notebook_texts):
special_notebooks_html += '<th><a class="ProveItLink" href="_%s_.ipynb">%s</a></th>\n' % (
special_notebook_type, special_notebook_text)
special_notebooks_html += '</table>\n'
if len(context_interface.subContextNames) > 0:
special_notebooks_html += '<table>\n'
for name in context_interface.subContextNames:
description = context_interface.subContextDescriptions[
name]
href = context_interface.subContextNotebook(name)
special_notebooks_html += '<tr><th><a class="ProveItLink" href="%s">%s</a></th><td>%s</td></tr>\n' % (
href, name, description)
special_notebooks_html += '</table>\n'
display(HTML(special_notebooks_html))
else:
special_notebook_links = []
full_width_layout = widgets.Layout(width='100%', padding='5px')
for special_notebook_type, special_notebook_text in zip(
special_notebook_types, special_notebook_texts):
special_notebook_links.append(
widgets.HTML(
'<a class="ProveItLink" href="_%s_.ipynb">%s</a>' %
(special_notebook_type, special_notebook_text),
layout=full_width_layout))
special_notebook_links = widgets.HBox(special_notebook_links)
sub_contexts_label = widgets.Label(
'List of sub-contexts:', layout=widgets.Layout(width='100%'))
#sub_context_widgets = widgets.VBox(sub_context_widgets)
add_context_widget = widgets.Text(value='',
placeholder='Add sub-context...')
def addSubContext(sender):
context_interface.addSubContext(add_context_widget.value)
add_context_widget.value = ''
add_context_widget.on_submit(addSubContext)
#layout = widgets.Layout(display='flex', flex_flow='column-reverse')
#display(widgets.Button(description='Edit...', disabled=False, button_style='', tooltip='Edit the sub-contents list', layout=layout))
#layout = widgets.Layout(float='bottom')
display(
widgets.VBox([
special_notebook_links, sub_contexts_label,
context_interface.widget, add_context_widget
]))
def begin_axioms(self):
# context based upon current working directory
self.context = Context()
if len(self.definitions) > 0 or self.kind is not None:
if self.kind != 'axioms':
raise ProveItMagicFailure(
"Run %%begin_axioms in a separate notebook from %%begin_%s."
% self.kind)
print "WARNING: Re-running %begin_axioms does not reset previously defined axioms."
print " It is suggested that you restart and run all cells after editing axioms."
print "Defining axioms for context '" + self.context.name + "'"
print "Subsequent end-of-cell assignments will define axioms"
print "%end_axioms will finalize the definitions"
def end_axioms(self):
self._finish('axioms')
def begin_theorems(self):
# context based upon current working directory
if len(self.definitions) > 0 or self.kind is not None:
if self.kind != 'theorems':
raise ProveItMagicFailure(
"Run %%begin_theorems in a separate notebook from %%begin_%s."
% self.kind)
print "WARNING: Re-running %begin_theorems does not reset previously defined theorems."
print " It is suggested that you restart and run all cells after editing theorems."
print "Defining theorems for context '" + self.context.name + "'"
print "Subsequent end-of-cell assignments will define theorems"
print "'%end theorems' will finalize the definitions"
def end_theorems(self):
self._finish('theorems')
# stash proof notebooks that are not active theorems.
self.context.stashExtraneousProofNotebooks()
def begin_common(self):
if len(self.definitions) > 0 or self.kind is not None:
if self.kind != 'common':
raise ProveItMagicFailure(
"Run '%%begin common' in a separate notebook from %%begin_%s."
% self.kind)
print "WARNING: Re-running '%begin common' does not reset previously defined common expressions."
print " It is suggested that you restart and run all cells after editing the expressions."
print "Defining common sub-expressions for context '" + self.context.name + "'"
print "Subsequent end-of-cell assignments will define common sub-expressions"
print "%end_common will finalize the definitions"
def end_common(self):
# Record the context names of common expressions referenced
# by this context's common expressions notebook...
self.context.recordCommonExprDependencies()
# and check for illegal mutual references.
cyclically_referenced_common_expr_context = self.context.cyclicallyReferencedCommonExprContext(
)
if cyclically_referenced_common_expr_context is not None:
raise ProveItMagicFailure(
"Not allowed to have cyclically dependent 'common expression' notebooks: %s._common_"
% cyclically_referenced_common_expr_context)
self._finish('common')
@line_magic
def begin(self, line):
kind = line.strip()
# context based upon current working directory
self.context = Context()
if kind == 'axioms':
self.begin_axioms()
elif kind == 'theorems':
self.begin_theorems()
elif kind == 'common':
self.begin_common()
self.kind = kind
@line_magic
def end(self, line):
kind = line.strip()
if kind == 'axioms':
self.end_axioms()
elif kind == 'theorems':
self.end_theorems()
elif kind == 'common':
self.end_common()
# reference any expressions that were displayed:
self.context.referenceDisplayedExpressions(kind)
# clean unreferenced expressions:
self.context.clean()
self.kind = None
@line_magic
def clear(self, line):
kind = line.strip()
# context based upon current working directory
self.context = Context()
if kind == 'axioms':
self.context._clearAxioms()
elif kind == 'theorems':
self.context._clearTheorems()
elif kind == 'common':
self.context._clearCommonExressions()
elif KnownTruth.theoremBeingProven is not None:
kind = '_proof_' + KnownTruth.theoremBeingProven.name
# clean unreferenced expressions:
self.context.referenceDisplayedExpressions(kind, clear=True)
self.context.clean()
self.kind = None
@line_magic
def check_expr(self, line):
_, hash_id = os.path.split(os.path.abspath('.'))
context = Context()
expr_name = line.strip()
if expr_name == '':
expr_name = 'expr'
expr = self.shell.user_ns[expr_name]
else:
expr = self.shell.user_ns[expr_name]
if isinstance(expr, KnownTruth):
# actually a KnownTruth; convert to an Expression
expr = expr.expr
stored_expr = context.getStoredExpr(hash_id)
if expr != stored_expr:
raise ProveItMagicFailure(
"The built '%s' does not match the stored Expression" %
expr_name)
if expr._style_id != stored_expr._style_id:
raise ProveItMagicFailure(
"The built '%s' style does not match that of the stored Expression"
% expr_name)
print "Passed sanity check: built '%s' is the same as the stored Expression." % expr_name
@line_magic
def proving(self, line):
from proveit._core_.proof import Theorem
self.context = Context(
'..'
) # the context should be up a directory from the _proofs_ directory
sys.path.append('..')
theorem_name, presuming_str = str(line.strip()).split(' ', 1)
if not presuming_str.find('presuming ') == 0:
print "Format: %begin_proof <theorem_name> presuming [<list of theorems / context-names>]"
return
args = presuming_str.split(' ', 1)[-1].strip('[]').split(',')
theorem_truth = Context('..').getTheorem(theorem_name).provenTruth
print "Beginning proof of", theorem_name
presuming = [arg.strip() for arg in args if arg.strip() != '']
# The list of theorems/context-names may be composed of full-path strings containing '.'s
# or may be actual theorem variables defined in the IPython sesson. The latter
# instances will be converted to strings.
for k, arg in enumerate(list(presuming)):
if '.' not in arg:
knownTruth = self.shell.user_ns[arg]
if not isinstance(knownTruth, KnownTruth) or not isinstance(
knownTruth.proof(), Theorem):
raise ValueError(
"Presuming list must be composed of full-path theorem/context-name containing '.'s or be KnownTruth variable representing a Theorem"
)
theorem = knownTruth.proof()
presuming[k] = str(theorem) # full path of theorem
begin_proof_result = theorem_truth.beginProof(presuming)
if isinstance(begin_proof_result, Expression):
# assign the theorem name to the theorem expression
# and display this assignment
theorem_expr = theorem_truth.expr
self.shell.user_ns[theorem_name] = theorem_expr
return Assignments([theorem_name], [theorem_expr],
beginningProof=True)
@line_magic
def qed(self, line):
proof = KnownTruth.theoremBeingProven.provenTruth._qed()
proof._repr_html_() # generate expressions that should be referenced
self.context.referenceDisplayedExpressions(
'_proof_' + KnownTruth.theoremBeingProven.name)
# clean unreferenced expressions:
self.context.clean()
return proof
def _finish(self, kind):
'''
Finish 'axioms', 'theorems', or 'common' for the Context
associated with the current working directory.
'''
if self.kind != kind:
raise ProveItMagicFailure(r"Must run %begin " + kind +
r" before %end " + kind)
# Add the special statements / expressions to the context
context = self.context
if kind == 'axioms':
context._setAxioms(self.keys, self.definitions)
elif kind == 'theorems':
context._setTheorems(self.keys, self.definitions)
elif kind == 'common':
context._setCommonExpressions(self.keys, self.definitions)
# Make a _common_.py, _axioms_.py or _theorems_.py for importing
# expressions from the certified database.
context.makeSpecialExprModule(kind)
# Update the expression notebooks now that these have been registered
# as special expressions.
for name, expr in self.definitions.iteritems():
# remake the expression notebooks using the special expressions of the context
context.expressionNotebook(expr)
if len(self.definitions) == 0:
print "Context %s has no %s" % (context.name, kind if kind !=
'common' else 'common expressions')
elif kind == 'common':
print "Common expressions may be imported from autogenerated _%s_.py" % kind
else:
print "%s may be imported from autogenerated _%s_.py" % (
(kind[0].upper() + kind[1:]), kind)
self.ranFinish = True
@line_magic
def dependencies(self, line):
'''
Show the dependencies of an axiom or theorem.
'''
from .proof import Theorem
name = line.strip()
known_truth = self.shell.user_ns[line.strip()]
proof = known_truth.proof() # Axiom or Theorem
def displaySpecialStmt(stmt):
'''
Given an Axiom or Theorem, display HTML with a link
to the definition.
'''
expr = stmt.provenTruth.expr
display(
HTML(
'<dt><a class="ProveItLink" href="%s">%s</a></dt><dd>%s</dd>'
% (stmt.getLink(), str(stmt), expr._repr_html_())))
def stmt_sort(stmt):
return str(stmt)
if isinstance(proof, Theorem):
try:
required_axioms, required_unproven_theorems = proof.allRequirements(
)
except:
display(HTML('<h3>This theorem has not been proven yet.</h3>'))
required_axioms, required_unproven_theorems = tuple(), tuple()
if len(required_unproven_theorems) > 0:
display(
HTML(
'<h3>Unproven theorems required (directly or indirectly) to prove %s</h3>'
% name))
display(HTML('<dl>'))
for required_unproven_theorem in sorted(
required_unproven_theorems, key=stmt_sort):
displaySpecialStmt(
Context.findTheorem(required_unproven_theorem))
display(HTML('</dl>'))
if len(required_axioms) > 0:
display(
HTML(
'<h3>Axioms required (directly or indirectly) to prove %s</h3>'
% name))
display(HTML('<dl>'))
for required_axiom in sorted(required_axioms, key=stmt_sort):
displaySpecialStmt(Context.findAxiom(required_axiom))
display(HTML('</dl>'))
dependents = proof.directDependents()
if len(dependents) == 0:
display(HTML('<h3>No theorems depend upon %s</h3>' % name))
else:
display(HTML('<h3>Theorems that depend directly on %s</h3>' %
name))
display(HTML('<dl>'))
for dependent in sorted(proof.directDependents(), key=stmt_sort):
displaySpecialStmt(Context.findTheorem(dependent))
display(HTML('</dl>'))
class ProveItMagicCommands:
def __init__(self):
self.reset()
def reset(self):
# You must call the parent constructor
self.kind = None
self.definitions = dict() # map name to expression
self.expr_names = dict() # map expression to names
self.keys = [] # the keys of the definitions in the order they appear
self.lowerCaseNames = set()
self.context = None
self.ranFinish = False
def display_contents(self, context_names):
'''
Generates a "table of contents" hierarchy of contexts for the contexts
listed in the line.
'''
def generateContents(contexts):
if len(contexts) == 0: return ''
html = '<ul>\n'
for context in contexts:
href = relurl(
os.path.join(context.getPath(), '_context_.ipynb'))
html += '<li><a class="ProveItLink" href="%s">%s</a></li>\n' % (
href, context.name)
html += generateContents(list(context.getSubContexts()))
return html + '</ul>\n'
display(
HTML(
generateContents([
Context(context_name) for context_name in context_names
])))
def display_context(self):
'''
Create the _common_, _axioms_ and _theorems_ notebooks for the current
context (if they do not already exist). Show the table of contents
for sub-contexts which may be edited.
'''
import proveit
# create an '__init__.py' in the directory if there is not an existing one.
if not os.path.isfile('__init__.py'):
open('__init__.py', 'w').close() # create an empty __init__.py
context = Context()
proveit_path = os.path.split(proveit.__file__)[0]
special_notebook_types = ('common', 'axioms', 'theorems',
'demonstrations')
special_notebook_texts = ('common expressions', 'axioms', 'theorems',
'demonstrations')
for special_notebook_type in special_notebook_types:
notebook_name = '_%s_.ipynb' % special_notebook_type
if not os.path.isfile(notebook_name):
# notebook does not yet exist, create it from the template
template_name = '_%s_template_.ipynb' % special_notebook_type
with open(os.path.join(proveit_path, '..', template_name),
'r') as template:
nb = template.read()
nb = nb.replace('#CONTEXT#', context.name)
# write the notebook file
with open(notebook_name, 'w') as notebook_file:
notebook_file.write(nb)
context_interface = ContextInterface()
if context_interface.mode == 'static':
special_notebooks_html = '<table><tr>\n'
for special_notebook_type, special_notebook_text in zip(
special_notebook_types, special_notebook_texts):
special_notebooks_html += '<th><a class="ProveItLink" href="_%s_.ipynb">%s</a></th>\n' % (
special_notebook_type, special_notebook_text)
special_notebooks_html += '</tr></table>\n'
if len(context_interface.subContextNames) > 0:
special_notebooks_html += '<table>\n'
for name in context_interface.subContextNames:
description = context_interface.subContextDescriptions[
name]
href = context_interface.subContextNotebook(name)
special_notebooks_html += '<tr><th><a class="ProveItLink" href="%s">%s</a></th><td>%s</td></tr>\n' % (
href, name, description)
special_notebooks_html += '</table>\n'
display(HTML(special_notebooks_html))
else:
special_notebook_links = []
full_width_layout = widgets.Layout(width='100%', padding='5px')
for special_notebook_type, special_notebook_text in zip(
special_notebook_types, special_notebook_texts):
special_notebook_links.append(
widgets.HTML(
'<a class="ProveItLink" href="_%s_.ipynb">%s</a>' %
(special_notebook_type, special_notebook_text),
layout=full_width_layout))
special_notebook_links = widgets.HBox(special_notebook_links)
sub_contexts_label = widgets.Label(
'List of sub-contexts:', layout=widgets.Layout(width='100%'))
#sub_context_widgets = widgets.VBox(sub_context_widgets)
add_context_widget = widgets.Text(value='',
placeholder='Add sub-context...')
def addSubContext(sender):
context_interface.addSubContext(add_context_widget.value)
add_context_widget.value = ''
add_context_widget.on_submit(addSubContext)
#layout = widgets.Layout(display='flex', flex_flow='column-reverse')
#display(widgets.Button(description='Edit...', disabled=False, button_style='', tooltip='Edit the sub-contents list', layout=layout))
#layout = widgets.Layout(float='bottom')
display(
widgets.VBox([
special_notebook_links, sub_contexts_label,
context_interface.widget, add_context_widget
]))
def begin_axioms(self):
# context based upon current working directory
self.context = Context()
if len(self.definitions) > 0 or self.kind is not None:
if self.kind != 'axioms':
raise ProveItMagicFailure(
"Run %%begin_axioms in a separate notebook from %%begin_%s."
% self.kind)
print(
"WARNING: Re-running %begin_axioms does not reset previously defined axioms."
)
print(
" It is suggested that you restart and run all cells after editing axioms."
)
print("Defining axioms for context '" + self.context.name + "'")
print("Subsequent end-of-cell assignments will define axioms")
print("%end_axioms will finalize the definitions")
def begin_theorems(self):
# context based upon current working directory
if len(self.definitions) > 0 or self.kind is not None:
if self.kind != 'theorems':
raise ProveItMagicFailure(
"Run %%begin_theorems in a separate notebook from %%begin_%s."
% self.kind)
print(
"WARNING: Re-running %begin_theorems does not reset previously defined theorems."
)
print(
" It is suggested that you restart and run all cells after editing theorems."
)
print("Defining theorems for context '" + self.context.name + "'")
print("Subsequent end-of-cell assignments will define theorems")
print("'%end theorems' will finalize the definitions")
def begin_common(self):
if len(self.definitions) > 0 or self.kind is not None:
if self.kind != 'common':
raise ProveItMagicFailure(
"Run '%%begin common' in a separate notebook from %%begin_%s."
% self.kind)
print(
"WARNING: Re-running '%begin common' does not reset previously defined common expressions."
)
print(
" It is suggested that you restart and run all cells after editing the expressions."
)
print("Defining common sub-expressions for context '" +
self.context.name + "'")
print(
"Subsequent end-of-cell assignments will define common sub-expressions"
)
print("%end_common will finalize the definitions")
def clear(self, kind):
# context based upon current working directory
self.context = Context()
if kind == 'axioms':
self.context._clearAxioms()
elif kind == 'theorems':
self.context._clearTheorems()
elif kind == 'common':
self.context._clearCommonExressions()
elif KnownTruth.theoremBeingProven is not None:
kind = '_proof_' + KnownTruth.theoremBeingProven.name
# clean unreferenced expressions:
self.context.referenceDisplayedExpressions(kind, clear=True)
self.context.clean()
self.kind = None
def check_expr(self, expr_name, expr):
_, hash_id = os.path.split(os.path.abspath('.'))
context = Context()
stored_expr = context.getStoredExpr(hash_id)
if expr != stored_expr:
raise ProveItMagicFailure(
"The built '%s' does not match the stored Expression" %
expr_name)
if expr._style_id != stored_expr._style_id:
raise ProveItMagicFailure(
"The built '%s' style does not match that of the stored Expression"
% expr_name)
print(
"Passed sanity check: built '%s' is the same as the stored Expression."
% expr_name)
def proving(self,
theorem_name,
presumptions,
justRecordPresumingInfo=False):
self.context = Context(
'..'
) # the context should be up a directory from the _proofs_ directory
sys.path.append('..')
proving_theorem = self.context.getTheorem(theorem_name)
proving_theorem_truth = proving_theorem.provenTruth
print("Beginning proof of", theorem_name)
return proving_theorem_truth.beginProof(
proving_theorem,
presumptions,
justRecordPresumingInfo=justRecordPresumingInfo)
def qed(self):
proof = KnownTruth.theoremBeingProven.provenTruth._qed()
proof._repr_html_() # generate expressions that should be referenced
self.context.referenceDisplayedExpressions(
'_proof_' + KnownTruth.theoremBeingProven.name)
# clean unreferenced expressions:
self.context.clean()
return proof
def end(self, kind):
'''
Finish 'axioms', 'theorems', 'common', or other (e.g., 'demonstrations')
for the Context associated with the current working directory.
'''
if self.kind != kind:
raise ProveItMagicFailure(r"Must run %begin " + kind +
r" before %end " + kind)
# Add the special statements / expressions to the context
context = self.context
if kind == 'axioms':
context._setAxioms(self.keys, self.definitions)
elif kind == 'theorems':
context._setTheorems(self.keys, self.definitions)
elif kind == 'common':
# Record the context names of common expressions referenced
# by this context's common expressions notebook...
context.recordCommonExprDependencies()
# and check for illegal mutual references.
cyclically_referenced_common_expr_context = self.context.cyclicallyReferencedCommonExprContext(
)
if cyclically_referenced_common_expr_context is not None:
raise ProveItMagicFailure(
"Not allowed to have cyclically dependent 'common expression' notebooks: %s._common_"
% cyclically_referenced_common_expr_context)
context._setCommonExpressions(self.keys, self.definitions)
if kind in ('axioms', 'theorems', 'common'):
# Make a _common_.py, _axioms_.py or _theorems_.py for importing
# expressions from the certified database.
context.makeSpecialExprModule(kind)
# Update the expression notebooks now that these have been registered
# as special expressions.
for name, expr in self.definitions.items():
# remake the expression notebooks using the special expressions of the context
context.expressionNotebook(expr)
if len(self.definitions) == 0:
print("Context %s has no %s" %
(context.name,
kind if kind != 'common' else 'common expressions'))
elif kind == 'common':
print(
"Common expressions may be imported from autogenerated _%s_.py"
% kind)
else:
print("%s may be imported from autogenerated _%s_.py" %
((kind[0].upper() + kind[1:]), kind))
self.ranFinish = True
# reference any expressions that were displayed:
self.context.referenceDisplayedExpressions(kind)
# clean unreferenced expressions:
self.context.clean()
if kind == 'theorems':
# stash proof notebooks that are not active theorems.
self.context.stashExtraneousProofNotebooks()
self.kind = None
def display_dependencies(self, name, known_truth):
'''
Show the dependencies of an axiom or theorem.
'''
proof = known_truth.proof() # Axiom or Theorem
def displaySpecialStmt(stmt):
'''
Given an Axiom or Theorem, display HTML with a link
to the definition.
'''
expr = stmt.provenTruth.expr
display(
HTML(
'<dt><a class="ProveItLink" href="%s">%s</a></dt><dd>%s</dd>'
% (stmt.getLink(), str(stmt), expr._repr_html_())))
def stmt_sort(stmt):
return str(stmt)
if isinstance(proof, Theorem):
try:
required_axioms, required_unproven_theorems = proof.allRequirements(
)
except:
display(HTML('<h3>This theorem has not been proven yet.</h3>'))
required_axioms, required_unproven_theorems = tuple(), tuple()
if len(required_unproven_theorems) > 0:
display(
HTML(
'<h3>Unproven theorems required (directly or indirectly) to prove %s</h3>'
% name))
display(HTML('<dl>'))
for required_unproven_theorem in sorted(
required_unproven_theorems, key=stmt_sort):
displaySpecialStmt(
Context.findTheorem(required_unproven_theorem))
display(HTML('</dl>'))
if len(required_axioms) > 0:
display(
HTML(
'<h3>Axioms required (directly or indirectly) to prove %s</h3>'
% name))
display(HTML('<dl>'))
for required_axiom in sorted(required_axioms, key=stmt_sort):
displaySpecialStmt(Context.findAxiom(required_axiom))
display(HTML('</dl>'))
dependents = proof.directDependents()
if len(dependents) == 0:
display(HTML('<h3>No theorems depend upon %s</h3>' % name))
else:
display(HTML('<h3>Theorems that depend directly on %s</h3>' %
name))
display(HTML('<dl>'))
for dependent in sorted(proof.directDependents(), key=stmt_sort):
displaySpecialStmt(Context.findTheorem(dependent))
display(HTML('</dl>'))
def _make(literalClass, coreInfo, styles, subExpressions):
'''
Make the object of class `literalClass` matching the core information
and sub expressions.
'''
from proveit import Context
import inspect
if len(subExpressions) > 0:
raise ValueError('Not expecting any subExpressions of Literal')
if len(coreInfo) < 4:
raise ValueError("Expecting " + literalClass.__name__ +
" coreInfo to contain at least 4 items: '" +
literalClass.__name__ +
"', stringFormat, latexFormat, and the context")
if coreInfo[0] != 'Literal':
raise ValueError("Expecting coreInfo[0] to be 'Literal'")
coreInfo = tuple(coreInfo) # make it hashable
if coreInfo in Literal.instances:
return Literal.instances[coreInfo].withStyles(**styles)
else:
# If the Literal is not in the instances dictionary, just make it independently
# without storing it in the instances dictionary. This allows us to create
# Expression objects out of the __pv_it database without causing
# a DuplicateLiteralError.
string_format, latex_format = coreInfo[1:3]
context = Context.getContext(coreInfo[3])
prev_context_default = Context.default
Context.default = context
try:
extra_core_info = coreInfo[4:]
init_args = inspect.getargspec(literalClass.__init__)[0]
if literalClass == Literal:
made_obj = Literal(string_format, latex_format,
extra_core_info, context)
elif len(init_args) == 1:
made_obj = literalClass(
) # no arguments (except self) are taken
elif len(init_args) == 2 and init_args[
1] == 'stringFormat' and coreInfo[1] == coreInfo[2]:
made_obj = literalClass(string_format, context)
elif len(init_args) == 3 and init_args[
1] == 'stringFormat' and init_args[2] == 'latexFormat':
made_obj = literalClass(string_format, latex_format)
elif len(init_args) == 4 and init_args[
1] == 'stringFormat' and init_args[
2] == 'latexFormat' and init_args[3] == 'context':
made_obj = literalClass(string_format, latex_format,
context)
elif hasattr(literalClass, 'makeLiteral'):
if len(extra_core_info) == 0:
made_obj = literalClass.makeLiteral(
string_format, latex_format, context)
else:
made_obj = literalClass.makeLiteral(
string_format, latex_format, extra_core_info,
context)
else:
raise NotImplementedError(
"Must implement the 'makeLiteral(string_format, latex_format, context)' static method for class %s"
% str(literalClass))
finally:
Context.default = prev_context_default # restore the default
Literal.instances.pop(coreInfo)
return made_obj.withStyles(**styles)
import sys from proveit._core_.context import Context, Theorems sys.modules[__name__] = Theorems(Context(__file__))